Write the following sets in Roster form M=[xx is an even multiple of 3, x<30}
Answers
Given : M=[x : x is an even multiple of 3, x<30}
T o Find : sets in Roster form
Solution:
Roster form : This is a set that lists all the elements of the set, separated by commas, within brackets.
x is an even multiple of 3,
Even Multiples of 3
6 , 12 , 18 , 24 , 30
but x < 30 so 30 no included
Hence 6 , 12 , 18 , 24
Roster form
{ 6 , 1 2, 18 , 24 }
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SOLUTION
TO DETERMINE
The below in Roster form
M = { x : x is an even multiple of 3 , x < 30 }
CONCEPT TO BE IMPLEMENTED
SET
A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole
Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set
REPRESENTATION OF SET
A set can be represented in following ways
- Set Builder form
- Tabular or Roster
EVALUATION
Here the given set is
M = { x : x is an even multiple of 3 , x < 30 }
Now the numbers which even multiple of 3 and less than 30 are
6 , 12 , 18 , 24
Hence the required Set in Roster form is
M = { 6 , 12 , 18 , 24 }
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